The National is really nice. I am from the UK and have stayed in London, there really is not any where thats truly cheap. However, the National is a nice hotel centerally located to the tube and "on/off" bus line. It also comes with breakfast and dinner to any listed resturant. I will see if I still have the phone # for you.

We used Short Lets (http://www.short-lets.co.uk/) to rent an apartment for a week in London a few years back. The prices are reasonable for a family (as opposed to renting 2 hotel rooms) and the one we rented was very nice.

Here ya go :) The on/off buses are a great way to get around and see things like "Big Ben, #10 Downing St (at least where it is) The Palace etc. Also you will need tickets to get into most places "Madam Tussauds" (spelt wrong I'm sure) The London Eye (amazing to see the whole of London) The London Dungeon is a fun and realistic look back at London's in-famous criminals. And of course The Tower of London is a must. The hotel will sell you tickets at a discounted price (cheaper than buying them at the place you want to see) Plus if you buy a family package it is cheaper still. I would buy snacks/food at a market/store as the restuarnts are very expensice in London, fish 'n' chips/drinks for a family of 4 will run you about 35 pounds ($60+) Anything else let me know.